Suppose the time spent by a randomly selected student who uses a terminal connected to a local time-sharing computer facility has a gamma distribution with mean 20 min and variance 80 min?.(a) What are the values of a and 8?a =5B - 4(b) What is the probability that a student uses the terminal for at most 28 min? (Round your answer to three decimal places.)(C) What is the probability that a student spends between 16 and 36 min using the terminal? (Round your answer to three decimal places.)

The distribution in statistics or probability is the shape in which the data behaves when plotted.…

Answered: Suppose the time spent by a randomly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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An X random variable comes from any distribution with 21 averages and 17 variances. What is the probability that a sample of 45 randomly selected from this stack has a sample mean between 20 and 26? Calculate.
The burning life (in hours) of electric lamps installed in a street of a city follows a normal distribution with an average of 120 burning hours and variance of 54000 square minutes. Find the probability of the electric lamps that are likely to burn for more than 110 hours more than 5124 minutes and less than 7450 minutes
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
This data set contains the achievement test (English as a Second Language) results and some background data collected during experimental trial of a new ESL program. The study was one year in duration. Students were allocated to the experimental ESL program class and a regular program control class on a random basis. Vocabulary and grammar tests were administered to the students in both groups at the beginning and the end of the school year. Variables The dataset includes 24 cases and 7 variables: Student ID Group (1 - experimental, 2 - control, 9 - missing) Gender (1 - male, 2 - female, 9 - missing) Pre-test vocabulary scores (scores range from 0 - 25, 99 - missing) Pre-test grammar scores (scores range from 0 - 25, 99 - missing) Post-test vocabulary scores (scores range from 0 - 25, 99 - missing) Post-test grammar scores (scores range from 0 - 25, 99 - missing) (a) develop a research question that can be addressed with independent-samples t test (b) state the null and alternative…
Describe a scenario where a researcher could use an F-test for the equality of two variances to answer a research question.
The personality variable extraversion is normally distributed in the population and has a mean of 10 and a standard deviation of 2. Researchers consider individuals who are 1 standard deviation above the mean “highly” extroverted. What is the probability that you can randomly sample 3 people from the population and all 3 would be “highly” extroverted?
Suppose a batch of metal shafts produced in a manufacturing company have a variance of 7.84 and a mean diameter of 201 inches. If 89 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 201.2 inches? Round your answer to four decimal places. don't forget to round
24. Suppose the waiting time for a goal to be scored in World Cup matches is an exponential random variable with mean 10 minutes. (a) What is the probability that more than 20 minutes passes before the first goal in a match is scored? Do not round your answer (so don't use a calculator). I (b) What is the probability that scoring the first goal in a match will be within one standard deviation from the mean waiting time? Do not round your answer (so don't use a calculator).
A supervisor at a local widget making company has been monitoring the output of one of the machines used to manufacture small aluminum plates. Past data indicate that if the machine is operating "properly," the length of the plates produced by this machine can be modeled as being normally distributed with a mean of 117 centimeters and a standard deviation of 5.2 centimeters. Suppose 16 plates produced by this machine are randomly selected. What is the probability that the average length of these 16 plates will be between 116 and 120 centimeters when the machine is operating "properly?" Z and t TABLES ARE GIVEN AS QUESTIONS 28-29. PLEASE SHOW ALL YOUR CALCULATIONS.CORRECT ANSWER WITHOUT CALCULATIONS WILL BE AWARDED PARTIAL CREDIT. Paragraph В I
A survey of prison guards shows that their average starting hourly wage is $30 and the variance is 9. If prison guard is selected, what is the probability that his/her hourly wage will be greater than $27 but less than $35?

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